3-DIMENSIONAL HYPERBOLIC GRID GENERATION WITH INHERENT DISSIPATION AND LAPLACIAN SMOOTHING

Based on upwind differencing of the governing equations, inherent diss ipation terms are derived for three-dimensional hyperbolic grid genera tion, These terms, taking only a negligible amount of mathematic opera tions, can effectively eliminate grid oscillation that is often encoun tered in hyperbolic grid generation, In addition to these dissipation terms, a Laplacian-type smoothing is incorporated to increase smoothne ss. Both implicit and explicit schemes for three-dimensional hyperboli c grid generation are investigated, and a comparison of these two sche mes is made, Several different geometries are used to demonstrate the robustness of the new methods, Finally, a wing-body configuration, wit h severe concave and convex corners, is used to evaluate the versatili ty of the present methods.